Holme Cricket Club was damaged over the May bank holiday weekend.
Two windows were smashed and a door was also damaged. A petrol can was stolen from one of the garages.
A litter bin was also set fire to on the canal path, and police believe the two incidents may be connected.
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Anybody with any information should contact Cumbria Police on 101 or CrimeStoppers anonymously on 0800 555 111.
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